31845325680 has 240 divisors, whose sum is σ = 122349639360. Its totient is φ = 7271534592.

The previous prime is 31845325679. The next prime is 31845325711. The reversal of 31845325680 is 8652354813.

31845325680 is a `hidden beast` number, since 3 + 1 + 84 + 5 + 3 + 2 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6110916 + ... + 6116124.

It is an arithmetic number, because the mean of its divisors is an integer number (509790164).

Almost surely, 2^31845325680 is an apocalyptic number.

31845325680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31845325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61174819680).

31845325680 is an abundant number, since it is smaller than the sum of its proper divisors (90504313680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31845325680 is a wasteful number, since it uses less digits than its factorization.

31845325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 31845325680 in words is "thirty-one billion, eight hundred forty-five million, three hundred twenty-five thousand, six hundred eighty".